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Finding the Fourth Proportional to 4,786, 7,179 and 1,323.26

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Solution

The fourth proportional to 4,786, 7,179 and 1,323.26 is: 1,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786 : 7,179 = 1,323.26 : x
  2. Step 2: Convert to fraction form
    4,786/7,179 = 1,323.26/x
  3. Step 3: Cross multiply
    4,786x = 7,179 × 1,323.26
  4. Step 4: Simplify right side
    4,786x = 9,499,683.54
  5. Step 5: Solve for x
    x = 9,499,683.54/4,786
  6. Step 6: Final answer
    x = 1,984.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.